Interpolate the following data to estimate the pressure at 6 minutes using 2nd order polynomial (By Lagrange interpolation) |-1 2 10 15 ly 16 3 15 22 12
Q: For the data given in the following table: 0.1 0.9 1.2 1.8 y 4.824 7.736 12.392 31.208 (A) Determine…
A: Let us take set of data points: x x0 x1 x2 x3 y f(x0) f(x1) f(x2) f(x3) Here x0, x1,…
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Q: Interpolate the following data to estimate the pressure at 1.15 minutes using 2nd order polynomial…
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Q: Q.5: For the given data; x f(x) 1 3 2 6 3 19 5 99 7 291 8 444 Calculate f(4) and f (2.5) using third…
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Q: Q2: The following tabulated data represent the influence values for vertical stress (12) under the…
A: From the given information. The given tabulated data is as follows.
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Q: find the value of f(4) using the Lagrange's polynomial of at most degree3 from the data 3 7. y=f(x)…
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Q: Calculate the Tayorl Polynomials T2(x )and T3(x) centered at x=a for f(x) = 14 sinx, a=pi/2
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Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. Rx) = xe-ex, a = 0…
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Q: 2. Consider the following data values 1.5 2 2.5 3 f(x) 8 14 18 Find the value Of f(x) at x= 2.65…
A: Newton's divided difference interpolation formula is a interpolation technique used when the…
Q: (d) In the following table, locate and correct the value of y that is in error by using difference…
A: In the following table , locate and correct the value of y that is in error by using difference…
Q: Use the fourth Taylor polynomial for f(x) = Va at a = 9 to estimate v10. Round your answer to four…
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Q: Q4: Given the following data, find F(x) at x = 3 using lagrange Interpolation. 1 2 4 y 1 1 2
A: We have, x 0 1 2 4 y 1 1 2 5 Here,x0=0, y0=1x1=1, y1=1x2=2, y2=2x3=4, y3=5We have to…
Q: Use Newton's interpolating polynomial to determine y at x = 4 to the best possible accuracy x 3 5.25…
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Q: T (F) H (btu/lb) 800 1000 1200 1400 1600 1303.6 1458.4 1585.3 1706.1 1826.1
A: We can solve this by using Lagrange's interpolating polynomials of degree 2
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Q: Interpolate the following data to estimate the pressure at 1.5 minutes using 2nd order polynomial…
A: The order polynomial approximation of f(x) using Lagrange Interpolation is .
Q: Q2 Given the data 5 f(x) 4.5 5.6 18.7 34 a) Calculate f (4) using Newton's interpolating…
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Q: (e) Write McLaurin polynomial of 3rd degree for the function f(x)= V1-
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Q: Construct a Lagrange interpolating polynomial to approximate u at the temperature of 38°C. Use your…
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Q: Approximate f' (1) using the given data f(0) = 1, f(1) = 2, f(2) = 1, and f(3) = 10 and the Lagrange…
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Q: If R₂(x) is the second degree Lagrange interpolating polynomial for the data Xi Yi where the…
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Q: Give the table below: 1.0 1.2 1.4 1.6 1.8 |f (x) | 0.23 | 0.34 | 0.45 0.58 0.63 Use Newton forward…
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Q: Interpolate the following data to estimate the pressure at 7 minutes using 2nd order polynomial (By…
A: Given,
Q: Q1. Given the data in the table below 1.6 2 2.5 14 3.2 4 4.5 f(x) 8 15 8 Calculate f(2.8) using…
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Q: Q3. Use Lagrange interpolating polynomials of order а) 1 b) 2 c) 3 to determine y at x=1.32 for the…
A: Let x0=1.20x1=1.25x2=1.30x3=1.35fx0=0.1823fx1=0.2231fx2=0.2624fx3=0.3001 The, Lagrange…
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Q: Q3. Interpolate the following data to estimate the pressure at 1.05 minutes using 2nd order…
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- The following data was obtained when the stopping distance d of a car on a wet roadwas measured as a function of the speed v when the brakes were applied: X 2 3 5 6 7 8 F(x) 3 18 38 289 300 450 Table 11- Use Natural Cubic Spline interpolation with the data presented in table 1What is the net signed area between f(x)=−2x−6 and the x-axis over the interval [−8,2]? Do not include any units in your answer.Find the z-score satisfying the given condition. 9% of the total area is to the left of z.
- Let f(x)= 3+2x2 Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x = 2 using three rectangles and a right endpoints. (round the answer to 4 decimal places) Then, improve the estimate by using six rectangles.Use the data below to estimate the value of f(6) to two (2) decimal digits using Backward Newton-Gauss Interpolation Formula.Find c such that f(c) equals the average value of f(x)=4x+6 over [−7,−2].